GCF of 108 and 144 (Greatest Common Factor)

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 108 and 144?

Answer

GCF of 108 and 144 is

(Thirty-six)

Finding GCF for 108 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 144 is to list all factors for both numbers and pick the highest common one:

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 108 and 144 is 36

Finding GCF for 108 and 144 by Prime Factorization

The second method to find GCF for numbers 108 and 144 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 108: 2, 2, 3, 3, 3

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 3

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 108 and 144? (The answer is: 36). Select the first number (e.g. '108') and the second number (e.g. '144'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.

"Greatest Common Factor" Calculator

GCF Table

Number 1	Number 2	GCF
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2
108	147	3
108	148	4
108	149	1
108	150	6
108	151	1
108	152	4
108	153	9
108	154	2
108	155	1
108	156	12
108	157	1
108	158	2

FAQ

What is the Greatest Common Divisor of 108 and 144?

GCF of 108 and 144 is 36

How to find the GCF of 108 and 144?

You can find the GCF of 108 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 144 is 36.

What prime factors do 108 and 144 share?

The prime factorizations of 108 and 144 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

How does the GCF reduce the fraction 108/144?

Divide the numerator and the denominator by the GCF 36: 108 ÷ 36 = 3 and 144 ÷ 36 = 4. So 108/144 in lowest terms is 3/4.

GCF of 108 and 144 (Greatest Common Factor)

What is the Greatest Common Divisor of 108 and 144?

Finding GCF for 108 and 144 using all factors (divisors) listing

Finding GCF for 108 and 144 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest Common Divisor of 108 and 144?

How to find the GCF of 108 and 144?

What prime factors do 108 and 144 share?

How does the GCF reduce the fraction 108/144?

See Also

Number 1	Number 2	GCF
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2
108	147	3
108	148	4
108	149	1
108	150	6
108	151	1
108	152	4
108	153	9
108	154	2
108	155	1
108	156	12
108	157	1
108	158	2

Number 1	Number 2	GCF
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2
108	147	3
108	148	4
108	149	1
108	150	6
108	151	1
108	152	4
108	153	9
108	154	2
108	155	1
108	156	12
108	157	1
108	158	2

Number 1	Number 2	GCF
108	129	3
108	130	2
108	131	1
108	132	12
108	133	1
108	134	2
108	135	27
108	136	4
108	137	1
108	138	6
108	139	1
108	140	4
108	141	3
108	142	2
108	143	1
108	144	36
108	145	1
108	146	2
108	147	3
108	148	4
108	149	1
108	150	6
108	151	1
108	152	4
108	153	9
108	154	2
108	155	1
108	156	12
108	157	1
108	158	2